4.4 Graph Exponential 4.4 Graph Exponential Growth FunctionsGrowth Functions
VocabularyVocabulary
Exponential FunctionExponential Function: : y = aby = abxx, where , where aa ≠ 0 and the base ≠ 0 and the base bb is a positive number is a positive number other than 1.other than 1.Examples:Examples:
Exponential Growth & DecayExponential Growth & Decay
y = aby = abxx
VocabularyVocabulary
asymptoteasymptote: : line that the graph line that the graph approaches more and more closely, but approaches more and more closely, but does not touch or crossdoes not touch or cross
VocabularyVocabulary
end behaviorend behavior of a function’s graph: the of a function’s graph: the y-behavior of the graph as x approaches y-behavior of the graph as x approaches positive or negative infinity.positive or negative infinity.
Graphing y = bGraphing y = bxx
Graph y = 4Graph y = 4xx
X Y X Y -2-2 -1-1 00 11 22
Graphing y = abGraphing y = abxx
GraphGraph
X Y X Y -1-1 00 11
2 3xy
Graphing y = abGraphing y = abxx
GraphGraph
X Y X Y 00 11 22
13
3xy
Graphing y = abGraphing y = abx-hx-h+k+k
22 3 1xy
Translates the graph
left 2 unitsTranslates the graph
down 1 unit
Graphing y = abGraphing y = abx-hx-h+k+k
GraphGraph
22 3 1xy
ClassworkClasswork
p. 121 #’s 1-3p. 121 #’s 1-3 (graph the functions) (graph the functions)
p. 122 #’s 4-6p. 122 #’s 4-6 (graph the functions) (graph the functions)
HomeworkHomework
Pg. 122, 1 – 17 allPg. 122, 1 – 17 all